The paper describes a new space of variable degree polynomials. This space is isomorphic to ℙl6, possesses a Bernstein like basis and has generalized tension properties in the sense that, for limit values of the degrees, its functions approximate quadratic polynomials. The corresponding space of C^3, variable degree splines is also studied. This spline space can be profitably used in the construction of shape preserving curves or surfaces.
Costantini, P., Pelosi, F., Sampoli, M.L. (2008). New spline spaces with generalized tension properties. BIT, 48(4), 665-688 [10.1007/s10543-008-0195-7].
New spline spaces with generalized tension properties
COSTANTINI, PAOLO;PELOSI F;SAMPOLI, MARIA LUCIA
2008-01-01
Abstract
The paper describes a new space of variable degree polynomials. This space is isomorphic to ℙl6, possesses a Bernstein like basis and has generalized tension properties in the sense that, for limit values of the degrees, its functions approximate quadratic polynomials. The corresponding space of C^3, variable degree splines is also studied. This spline space can be profitably used in the construction of shape preserving curves or surfaces.
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https://hdl.handle.net/11365/45177
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